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NEWTON'S METHOD AS A MEAN VALUE METHOD

Tran, Vanthu Thy
http://rave.ohiolink.edu/etdc/view?acc_num=akron1176739678

Abstract Details

2007, Master of Science, University of Akron, Mathematics.
In this thesis, the relationships between fixed-point problems, relaxation methods and Newton's method were investigated. It was proven that Newton's method was a modified relaxation method, whose mean value parameter approached the optimal parameter for relaxation method. Also, under some conditions on the derivative of the function whose fixed point was sought, a convergent relaxation sequence that converged to a fixed point of the function was introduced.
Ali Hajjafar (Advisor)
Mathematics
Newton's method; fixed point; relaxation method

Recommended Citations

Citations

  • Tran, V. T. (2007). NEWTON'S METHOD AS A MEAN VALUE METHOD [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1176739678

    APA Style (7th edition)

  • Tran, Vanthu. NEWTON'S METHOD AS A MEAN VALUE METHOD. 2007. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1176739678.

    MLA Style (8th edition)

  • Tran, Vanthu. "NEWTON'S METHOD AS A MEAN VALUE METHOD." Master's thesis, University of Akron, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=akron1176739678

    Chicago Manual of Style (17th edition)

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© 2007, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.